In: Physics
A particle with mass m begins its motion from the state of rest under the influence of an oscillating force F(t) = F0 sin(γ t). Find the particle’s velocity and the distance traveled at time t1, when the force reaches its first maximum, and at time t2, when the force becomes equal to zero.
When a particle is oscillating under the influence of oscillating force , equation of motion of particle is
Integrating above equation,
Velocity of particle is
Integrating above equation,
Diplacement of the particle is
At time , force reaches its maximum,
,
At time , force is equal to zero,
,
At time ,
Velocity of particle is
Distance travelled is
At time ,
Velocity of particle is
Distance travelled is